4(x+6)-4x/2x-2=6

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Solution for 4(x+6)-4x/2x-2=6 equation: 


x in (-oo:+oo)

4*(x+6)-(((4*x)/2)*x)-2 = 6 // - 6

4*(x+6)-(((4*x)/2)*x)-6-2 = 0

4*(x+6)-2*x^2-6-2 = 0

4*(x+6)-2*x^2-6-2 = 0

4*x-2*x^2-6-2+24 = 0

4*x-2*x^2-2+18 = 0

4*x-2*x^2+16 = 0

4*x-2*x^2+16 = 0

2*(2*x-x^2+8) = 0

2*x-x^2+8 = 0

DELTA = 2^2-(-1*4*8)

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(-1*2) or x = (-36^(1/2)-2)/(-1*2)

x = -2 or x = 4

2*(x+2)*(x-4) = 0

2*(x+2)*(x-4) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2, 4 }

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